Nice theming, and a very clever puzzle game!
The learning curve of the different levels really helps to explain how the mechanics work without a need for a thorough tutorial, but it would be good to show a bit more information. For example, it'd be nice to see what the final values of each of the dice are, and if the roll fails, highlighting what failed and why would really help clarify the rules of the game.
But the overall ambience and attention to detail (Love the level-loading transition) really makes this feel good. :)